On rectangular diagrams, Legendrian knots and transverse knots

Details On rectangular diagrams, Legendrian knots and transverse knots On rectangular diagrams, Legendrian knots and transverse knots

2007-08-17

arxiv.org/abs/0708.2406v1

Mathematics

Geometric Topology

15 pages, 11 figures

Scientific paper

A correspondence is studied by H. Matsuda between front projections of
Legendrian links in the standard contact structure for 3-space and rectangular
diagrams. In this paper, we introduce braided rectangular diagrams, and study a
relationship with Legendrian links in the standard contact structure for
3-space. We show Alexander and Markov Theorems for Legendrian links in 3-space.

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